LOGARITHMS G1

 

Evaluate Log₂(512 ÷ 8).

 

Solution

 

= Log₂(512 ÷ 8)

 

= Log₂512 -  Log₂8          (applying the product rule)

 

= Log₂2⁹ -  Log₂2³             ( 512= 2⁹ and 8=2³ )

 

= 9Log₂2 -  3Log₂2       ( remember  Log_aa^c = cLog_aa )

 

= (9 x 1) -  (3 x 1)          ( remember  Log_aa = 1 )

 

= 9 - 3

 

= 6 answer

 

 

TRY THIS...............

 

Evaluate Log₂(2048 - 32).